A 2.50-nF parallel-plate capacitor is charged to an initial potential difference ΔVi = 100 V and is then isolated. The dielectric material between the plates is paper, with a dielectric constant of 3.7.

Requried:
a. How much work is required to withdraw the mica sheet?
b. What is the potential difference across the capacitor after the mica is withdrawn?

Respuesta :

Explanation:

Formula to calculate the energy stored in a capacitor when it is filled with air is,

[tex] U_{1}=\frac{1}{2} C V_{1}^{2} [/tex]]

Here, [tex]U_{1}[/tex] is the energy stored in a capacitor when it is filled with air.

[tex]C[/tex] is the parallel plate capacitor.

[/tex]V_{\mathrm{i}}[/tex] is the initial potential difference.

Substitute [tex]2.00 \mathrm{nF}[/tex] for [tex]C[/tex] and [tex]100 \mathrm{V}[/tex] for [tex]V_{\mathrm{i}}[/tex] to find the [tex]U_{1}[/tex]

[tex] \begin{array}{c} U_{1}=\frac{1}{2}\left(2.00 \mathrm{nF}\left(\frac{10^{9} \mathrm{F}}{1 \mathrm{n} \mathrm{F}}\right)\right)(100 \mathrm{V})^{2} \\ =10^{-5} \mathrm{J} \end{array} [/tex]]

Formula to calculate the energy stored in a capacitor when it is filled with dielectric is,